1 . 已知复数
满足
.
(1)求复数
的共轭复数;
(2)若
,且复数
对应向量的模不大于复数
所对应向量的模,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79205b2a465e2af522647e9bff930222.png)
(1)求复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b47d8389964b5a4cffb019f42725165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2017-05-03更新
|
316次组卷
|
3卷引用:山东省烟台市2016-2017学年高二下学期期中学段考试数学(文)试题
山东省烟台市2016-2017学年高二下学期期中学段考试数学(文)试题新疆阿勒泰地区2019-2020学年高二下学期期末考试数学(文科)试题(已下线)专题02 复数-《期末真题分类汇编》(新高考专用)
名校
解题方法
2 . 设
,
是
的共轭复数,若
和
均为实数,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b54286fe72b8305272c36c0a3a8d2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005f6a19fe7b2709a8447830ea0a024a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c32849bfd957f6f3bba6f29dfefc388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a12bc3883cec9c1513befb8f4ce4fc9.png)
您最近一年使用:0次
名校
3 . 已知复数
在复平面内对应的点分别为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248c6a7d6474e58d59c9ff2d3f8cedb0.png)
(1)若
,求
的值;
(2)若复数
对应的点在二、四象限的角平分线上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/465d1eefa80667ac537de5b68e091508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248c6a7d6474e58d59c9ff2d3f8cedb0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ad2758485a5f05957d2934e28bcab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e22303b04cbadaf88c75d5a55007e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2016-12-04更新
|
422次组卷
|
4卷引用:2015-2016学年福建福州八中高二下期中理科数学试卷
2015-2016学年福建福州八中高二下期中理科数学试卷辽宁省大连经济技术开发区得胜高级中学2016-2017学年高二下学期期末考试数学(理)试题(已下线)2019年4月14日 《每日一题》理数选修2-2(期中复习)-每周一测【全国百强校】江苏省扬州中学2018-2019学年高二第二学期五月检测数学(文)试题
4 . 已知复数
,其共轭复数为
,求
(1)复数
的模;
(2)
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20129f794f91bd4f2c135036289d44a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
(1)复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1245ed74a632317d3a0a106aa9d02eaf.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d92af64b8e25806c707fc3e75cd0678.png)
您最近一年使用:0次
2016-12-04更新
|
545次组卷
|
3卷引用:2015-2016学年辽宁省大连二十中高二下学期期中文科数学试卷
解题方法
5 . 已知
.
(1)
是
的共轭复数,求
的值;
(2)类比数列的有关知识,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca6bba0a89124c9406919e2a8d9276a2.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d73e866d67d2b3066a3951b87d159d3.png)
(2)类比数列的有关知识,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85617e78a8e8672f31be7e1939023afc.png)
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2013高二下·江苏淮安·学业考试
6 . 已知复数z1=m(m-1)+(m-1)i是纯虚数.
(1)求实数m的值;
(2)若(3+z1)
=4+2i,求复数z.
(1)求实数m的值;
(2)若(3+z1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f67e9580bd9797991a6e5002c3635b7.png)
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12-13高二下·宁夏·期中
7 . 已知
,求
及
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db1c5de54ec8e4d33d1c68afd9fb8b8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417180f871c2cd5d61c7238cacdb89c9.png)
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11-12高二下·广东东莞·阶段练习
解题方法
8 . 已知复数
.
(1)求
的实部与虚部;
(2)若
(
是
的共轭复数),求
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f112a2ea5742ebb91aa756e81490ff.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03b3ac9d19ee40929019ed319f34b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60d4f7fbd6138753c6382884aa94f5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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10-11高二下·安徽亳州·期末
9 . 若复数
,求实数
使
成立.(其中
为
的共轭复数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37bab1796087acc1a2d7d1d8c0fc69a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d701d16d9f318ee8fa779f5b961d64c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c209a4c95d6d5e68974d05d293be4490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fcfebd9f5a57036e6df6b6e14865da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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10-11高二下·内蒙古赤峰·阶段练习
10 . 已知复数
满足
.求复数
在复平面上对应点的轨迹.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f07bd86868570bccf5a062b1f128ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc6e50a93bd8ed591649fa268cd9936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
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